Best proximity points for proximal contractions

In this paper we improve and extend some best proximity point results concerning the so- called proximal contractions. Specifically, compactness assumptions under the sets A and B are removed to consider completeness conditions instead.

Bibliographic Details
Author: Fernández León, Aurora
Format: Article
Status:Submitted version
Publication date:2014
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/43082
Online Access:http://hdl.handle.net/11441/43082
Access Level:Open access
Keyword:Proximal contraction
Fixed points
Best proximity point
Approximate solution
Metric space
Description
Summary:In this paper we improve and extend some best proximity point results concerning the so- called proximal contractions. Specifically, compactness assumptions under the sets A and B are removed to consider completeness conditions instead.